Richard Pink: Catalogue data in Spring Semester 2016

Name Prof. Dr. Richard Pink
FieldMathematics
Address
Professur für Mathematik
ETH Zürich, HG G 65.2
Rämistrasse 101
8092 Zürich
SWITZERLAND
Telephone+41 44 632 06 40
E-mailrichard.pink@math.ethz.ch
URLhttp://www.math.ethz.ch/~pink
DepartmentMathematics
RelationshipFull Professor

NumberTitleECTSHoursLecturers
401-2004-00LAlgebra II5 credits2V + 2UR. Pink
AbstractThe lectures will cover additional topics in abstract algebra:
(1) Galois theory
(2) Representation theory of finite groups
Objective
LiteratureS. Lang, "Algebra"
401-2200-13LRepresentation Theory of Finite Groups Restricted registration - show details
Only for Mathematics (and Physics, but not eligible for the Physics Bachelor Programme) Bachelor 4th semester

Number of participants limited to 24.
4 credits2SR. Pink
Abstract-Grundlegende Begriffe aus der Darstellungstheorie
-Zerlegung in irreduzible Darstellungen
-Charaktertheorie
-Berechnung von Charaktertabellen
-Anwendungen zur Gruppentheorie, insbesondere Satz von Burnside
ObjectiveMethoden und Resultate der Darstellungstheorie.
Vortragstechnik.
ContentVorläufige Stichwortliste der einzelnen Vorträge: http://www.math.ethz.ch/education/bachelor/seminars/fs2013/dteg/stichworte.pdf
LiteratureRepresentations and Characters of Groups, Gordon James & Martin Liebeck, Cambridge Verlag.
Prerequisites / NoticeDas Seminar richtet sich primär an Studierende im 4. Semester, die die Vorlesung Algebra I bei mir besucht haben, unabhängig vom Studiengang. Es steht aber auch anderen offen.
In der Vorbesprechung am 16.12.2015 wurde entschieden, das Seminar doppelt anzubieten. Dadurch sind noch Plätze frei; Interessenten mögen sich bitte per email an mich wenden.
Jeder Teilnehmende bringt zu seinem Vortrag eine schriftliche Zusammenfassung mit.
401-5110-00LNumber Theory Seminar Information 0 credits1KÖ. Imamoglu, P. S. Jossen, E. Kowalski, P. D. Nelson, R. Pink, E. Viada, G. Wüstholz
AbstractResearch colloquium
ObjectiveTalks on various topics of current research.
ContentResearch seminar in algebra, number theory and geometry. This seminar is aimed in particular to members of the research groups in these areas and their graduate students.
406-2004-AALAlgebra II
Enrolment ONLY for MSc students with a decree declaring this course unit as an additional admission requirement.

Any other students (e.g. incoming exchange students, doctoral students) CANNOT enrol for this course unit.
5 credits11RR. Pink
AbstractGalois theory and Representations of finite groups, algebras.

The precise content changes with the examiner. Candidates must therefore contact the examiner in person before studying the material.
ObjectiveIntroduction to fundamentals of Galois theory, and representation theory of finite groups and algebras
ContentFundamentals of Galois theory
Representation theory of finite groups and algebras
LiteratureS. Lang, Algebra, Springer Verlag
B.L. van der Waerden: Algebra I und II, Springer Verlag
I.R. Shafarevich, Basic notions of algebra, Springer verlag
G. Mislin: Algebra I, vdf Hochschulverlag
U. Stammbach: Algebra, in der Polybuchhandlung erhältlich
I. Stewart: Galois Theory, Chapman Hall (2008)
G. Wüstholz, Algebra, vieweg-Verlag, 2004
J-P. Serre, Linear representations of finite groups, Springer Verlag
Prerequisites / NoticeAlgebra I
406-2005-AALAlgebra I and II
Enrolment ONLY for MSc students with a decree declaring this course unit as an additional admission requirement.

Any other students (e.g. incoming exchange students, doctoral students) CANNOT enrol for this course unit.
12 credits26RR. Pink
AbstractIntroduction and development of some basic algebraic structures - groups, rings, fields including Galois theory, representations of finite groups, algebras.

The precise content changes with the examiner. Candidates must therefore contact the examiner in person before studying the material.
Objective
ContentBasic notions and examples of groups;
Subgroups, Quotient groups and Homomorphisms,
Group actions and applications

Basic notions and examples of rings;
Ring Homomorphisms,
ideals, and quotient rings, rings of fractions
Euclidean domains, Principal ideal domains, Unique factorization
domains

Basic notions and examples of fields;
Field extensions, Algebraic extensions, Classical straight edge and compass constructions

Fundamentals of Galois theory
Representation theory of finite groups and algebras
LiteratureS. Lang, Algebra, Springer Verlag
B.L. van der Waerden: Algebra I und II, Springer Verlag
I.R. Shafarevich, Basic notions of algebra, Springer verlag
G. Mislin: Algebra I, vdf Hochschulverlag
U. Stammbach: Algebra, in der Polybuchhandlung erhältlich
I. Stewart: Galois Theory, Chapman Hall (2008)
G. Wüstholz, Algebra, vieweg-Verlag, 2004
J-P. Serre, Linear representations of finite groups, Springer Verlag